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Finding the Fourth Proportional to 775.52, 1,162.92 and 313.10

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Solution

The fourth proportional to 775.52, 1,162.92 and 313.10 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,162.92 = 313.10 : x
  2. Step 2: Convert to fraction form
    775.52/1,162.92 = 313.10/x
  3. Step 3: Cross multiply
    775.52x = 1,162.92 × 313.10
  4. Step 4: Simplify right side
    775.52x = 364,110.25
  5. Step 5: Solve for x
    x = 364,110.25/775.52
  6. Step 6: Final answer
    x = 469.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.